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Simplifying 4(2x + -3) = 6(3 + -2x) Reorder the terms: 4(-3 + 2x) = 6(3 + -2x) (-3 * 4 + 2x * 4) = 6(3 + -2x) (-12 + 8x) = 6(3 + -2x) -12 + 8x = (3 * 6 + -2x * 6) -12 + 8x = (18 + -12x) Solving -12 + 8x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 8x + 12x = 18 + -12x + 12x Combine like terms: 8x + 12x = 20x -12 + 20x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 20x = 18 + 0 -12 + 20x = 18 Add '12' to each side of the equation. -12 + 12 + 20x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 18 + 12 20x = 18 + 12 Combine like terms: 18 + 12 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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